The figure below shows an overhead view of three particles on which external forces act. The magnitudes and directions of the forces on two of the particles are indicated.
The
figure below shows an overhead view of three p
(a) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is stationary?
8 N, rightward
8 N, leftward
2 N, rightward
2 N, leftward
(b) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is moving at a constant velocity rightward?
2 N, rightward
8 N, leftward
2 N, leftward
8 N, rightward
(c) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is accelerating rightward?
less than 2 N, rightward
greater than 2 N, rightward
greater than 2 N, leftward
less than 2 N, leftward

Question

09-12-2022
Physics

Answered

The figure below shows an overhead view of three particles on which external forces act. The magnitudes and directions of the forces on two of the particles are indicated.
The
figure below shows an overhead view of three p
(a) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is stationary?
8 N, rightward
8 N, leftward
2 N, rightward
2 N, leftward
(b) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is moving at a constant velocity rightward?
2 N, rightward
8 N, leftward
2 N, leftward
8 N, rightward
(c) What are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is accelerating rightward?
less than 2 N, rightward
greater than 2 N, rightward
greater than 2 N, leftward
less than 2 N, leftward

Answer :

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saishreechandan907 saishreechandan907 · Answer 1 · 2022-12-17T13:22:57-05:00

On two of the particles, the strengths and directions of the applied force are shown. 2 N to the right, 2 N to the right, and more than 2 N to the right

a) 2 N rightward

for the center of mass to be stationary,

Net force = 0

SO, 2N rightward

(b) 2N rightward

for the center of mass to move with constant velocity

Net force = 0

So, 2N rightward

(c) greater than 2N rightward

for the center of mass to accelerate in rightward

Net force should be in rightward

So, greater than 2N rightward

In mechanics, a force is any action that has the potential to change, maintain, or deform a body's motion. The three principles of motion outlined by Isaac Newton in his Principia Mathematica are frequently used to illustrate the concept of force (1687). Newton's first law states that a body at rest or moving uniformly in a straight line will stay in that state until a force is applied to it. According to the second law, a body will accelerate (change in velocity) in the direction of any external force acting on it. The strength of the external force directly correlates with the strength of the acceleration.

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